I already had my 4 years when I registered. Even my technician expereence counted as long as you do it after you got your BS. Unlike you, I was not fortunate enough to get a design job after graduation. I did get engineering job but my tasks were technician tasks. I think they will reject you if you dont have 4 years when you register (even if you have 4 years when you take the exam). You can pass FE whenever. I passed mine 1 year before I graduated. You can even pass it a year before taking the PE.
As far as afternoon session goes (structural), make sure you know different methods to calculate deflections (virtual work, conjugate beam, moment distribution, table look up etc.), there were a lot of that. As far as the code, there were a lot of questions from AASHTO bridge loading. You only need to know the loading (chapter 3 AASHTO LFD, not LRFD, this may change in 2010). You dont have to design anything. If you do have to design something, it is probably something simple. Anyway, I think where I am I do not need SE I and SE II to design houses. Maybe if I move to California or Utah, I think they license structural engineers separately from PE. Here is a quote from the PE test website:
If you are pursuing a professional license, you must pass one or more of the Principles and Practice examinations:
• Engineering licensure candidates: take a Principles and Practice of Engineering (PE) exam and any required state-specific exam(s). PE exam disciplines are listed below.
• In jurisdictions that license structural engineers SEPARATELY from professional engineers, structural engineering licensure candidates must take one or more of the following exams: PE Civil, PE Structural I, PE Structural II, and/or any required state-specific exam(s).